Convergence analysis and error estimates of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities

摘要

This paper is presented for the convergence analysis of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities arising from the heat-servo control problem. The error estimates illustrate that the convergence order depends only on the number of basis functions in the moving least-squares approximation but also the relationship with the time step and the spatial step. Numerical examples verify the convergence analysis and the error estimates. (C) 2017 Elsevier Ltd. All rights reserved.